Higher-spin fields introduce indefinite terms into the generalized Raychaudhuri equation on Killing horizons, blocking a focusing theorem and a well-defined Wall entropy unless a proposed focusing condition is imposed.
Black Hole Zeroth Law in Higher Curvature Gravity
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The zeroth law of black hole mechanics is an assertion of constancy of the surface gravity on a stationary Killing horizon. The Hawking temperature of the black hole horizon is proportional to the surface gravity. Therefore, the constancy of the surface gravity is reminiscent of the zeroth law of ordinary thermodynamics. In this work, we provide a proof of the zeroth law in Lanczos-Lovelock theories of gravity, where the Einstein Hilbert action is supplemented by higher curvature terms.
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Gravitational focusing and horizon entropy for higher-spin fields
Higher-spin fields introduce indefinite terms into the generalized Raychaudhuri equation on Killing horizons, blocking a focusing theorem and a well-defined Wall entropy unless a proposed focusing condition is imposed.